Extremebies produces professional bemets The helmets outer shell is made of composite materials that contain carton, Kevlar and Polycartonate. The compara contract for helmets with shells that must weh 1. tbeach, from which at least 20% must be carbon at least 15% of the shell most be Kevior and no more than ok of the shell must be polycarbonate. The sum of Carbon, Kevlar and Polycarbonate must equal 1.2. Costs Carbon 57.50/b, Kevlar $14/, Polycarbonate 2.5o. The objective is to determine the amounts of Carbon, Kevlar, and Polycarbonate to be used in each helmet shell that will minim e total material cost Formate Objective function 0.5 points Subject to constraint Carbon 0.5 points Constraint Kevlar 0.5 points Constraint Polycarbonate 0.5 points Constraint Shala 0.5 points ExtremeBikes produces professional helmets. The helmet's outer shell is made of composite materials that contain Carbon, Kevlar, and Polycarbonate. The company has a contract for helmets, with shells that must weigh 1.7 lb each, from which at least 20% must be carbon, at least 15% of the shell must be Kevlar and no more than 50% of the shell must be Polycarbonate. The sum of Carbon, Kevlar and Polycarbonate must equal 1.7 lb. Costs are: Carbon $7.50/1b, Kevlar $14/1b, Polycarbonate $2.50/1b. The objective is to determine the amounts of Carbon, Kevlar, and Polycarbonate to be used in each helmet shell that will minimize total material cost. 0.5 points --- Formulate Objective Function Subject to: 0.5 points